Researchers want to determine whether all bags of M&M's® have the same proportion of colors regardless of the flavor of M&M's®. To test this, they sampled randomly king-size bags of each flavor and recorded their findings in the table. Flavor M&M's® Color Red Orange Yellow Green Blue Brown Original 24 11 29 17 9 14 Peanut 15 20 30 25 15 19 Almond 22 17 21 12 28 7 Part A: What are the correct degrees of freedom for this table? Part B: Calculate the expected count for the number of green peanut M&M's®. Show your work. Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of M&M's®? Provide a statistical justification for your conclusion.
Researchers want to determine whether all bags of M&M's® have the same proportion of colors regardless of the flavor of M&M's®. To test this, they sampled randomly king-size bags of each flavor and recorded their findings in the table. Flavor M&M's® Color Red Orange Yellow Green Blue Brown Original 24 11 29 17 9 14 Peanut 15 20 30 25 15 19 Almond 22 17 21 12 28 7 Part A: What are the correct degrees of freedom for this table? Part B: Calculate the expected count for the number of green peanut M&M's®. Show your work. Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of M&M's®? Provide a statistical justification for your conclusion.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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